The position versus time for a certain particle moving along the x-axis is shown in the figure. 1. Plot the velocity versus time graph for the time intervals: a. 0 to 2 s b. 2 s to 6 s c. 6 s to 10 s 2. Plot the acceleration versus time graph for the same time intervals.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
The position versus time for a certain particle moving along the x-axis is shown in the figure.
1. Plot the velocity versus time graph for the time intervals:
a. 0 to 2 s
b. 2 s to 6 s
c. 6 s to 10 s
2. Plot the acceleration versus time graph for the same time intervals.
![**Analyzing Position vs. Time Graph**
**Graph Explanation:**
This graph represents the relationship between position (in meters) and time (in seconds).
**Axes Description:**
- The horizontal axis (x-axis) represents time in seconds, ranging from 0 to 10 seconds.
- The vertical axis (y-axis) represents position in meters, ranging from 0 to 15 meters.
**Graph Analysis:**
1. From 0 to 2 seconds, the object's position increases rapidly from 0 to 15 meters. This indicates that the object is moving forward quickly.
2. From 2 to 4 seconds, the object's position decreases from 15 meters to 5 meters, suggesting that the object is moving backward.
3. Between 4 and 6 seconds, there is no change in position; it remains constant at 5 meters. This signifies that the object is stationary during this time period.
4. From 6 to 10 seconds, the object's position increases again from 5 meters to 10 meters, indicating forward motion, but at a slower rate compared to the first segment of the graph.
This graph can be used to understand the motion of the object over the given time period and to illustrate concepts such as acceleration, deceleration, and stationary position in a kinematics context.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c505041-5483-4aed-a753-3b3233349123%2Fefc22e20-9508-4465-9ccd-4708d6d60c88%2Fc41v7zv_processed.png&w=3840&q=75)
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